Relation between ac Josephson effect and double-well Bose-Einstein-condensate oscillations

Leo Radzihovsky; Victor Gurarie

doi:10.1103/PhysRevA.81.063609

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Relation between ac Josephson effect and double-well Bose-Einstein-condensate oscillations

Leo Radzihovsky, Victor Gurarie

DOI 10.1103/PhysRevA.81.063609 · Physical Review A

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Abstract

In this article we comment on the relation between the ac Josephson effect and the coherent oscillations of a Bose-Einstein condensate confined to a double-well potential. The goal is to elucidate the extent to which the latter is a realization of the former. We detail the correspondence between the two oscillation frequencies, that emerges in the high occupation limit of the double-well potential. We show that in the latter thermodynamic limit the effective one-particle interwell coupling vanishes with the system size, leading to oscillation frequency that depends only on the interwell imbalance, consistent with the ac Josephson effect frequency.